Mathc initiation/a531

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Sommaire


Installer et compiler ces fichiers dans votre répertoire de travail.

c00b.c
/* --------------------------------- */
/* save as c00b.c                    */
/* --------------------------------- */
#include "x_afile.h"
#include      "fc.h"                 /* Try fb.h, fc.h ... fj.h */
/* --------------------------------- */
int main(void)
{
double  M = LT_dt( d2F, a,b, LOOP, s);

 clrscrn();  
 printf(" The Laplace transform of F(t) is f(s) \n\n" 
        "            / oo                         \n" 
        "           |                             \n" 
        " L{F(t)} = |    exp(-s t) F(t) dt = f(s) \n" 
        "           |                             \n" 
        "           /  0                      \n\n\n");
 
 
 printf(" A property of the Laplace transform is :     \n\n"
        "    L{F''(t)} = s**2 * f(s) - s * F(0) - F'(0)\n\n");
 stop();

 clrscrn();
 printf("       /+oo                                            \n"
        "      |     exp(-s t) [F''(t)] dt = s**2 f(s)-s F(0)-F'(0)\twith s = %+.3f\n"
        "      /0                                           \n\n\n", s); 
        
 printf(" If   F(t)   : t-> %s " 
        " Then F''(t) : t-> %s  \n\n", Feq, d2Feq);     

 printf("       /+oo                              \n"
        " Then |     exp(-s t) [%s] dt = (%+.3f)  \n" 
        "      /0                             \n\n\n", d2Feq, M); 
        
 printf(" And :   L{F''(t)} = s**2 * f(s) - s * F(0) - F'(0)\n"
        "                   = %s                 \n"
        "                   = %s                 \n"
        "                   = (%+.3f)          \n\n", 
                                 f_seq,f2seq, f_s(s));  
        
 printf(" Mathematica Code\n\n"
        " %s \n\n", Mathematica_eq);    
 stop(); 
 
 return 0;
}
/* --------------------------------- */
/* --------------------------------- */


Exemple de sortie écran :

 The Laplace transform of F(t) is f(s) 

            / oo                         
           |                             
 L{F(t)} = |    exp(-s t) F(t) dt = f(s) 
           |                             
           /  0                      


 A property of the Laplace transform is :     

    L{F''(t)} = s**2 * f(s) - s * F(0) - F'(0)

 Press return to continue.


Exemple de sortie écran :

       /+oo                                            
      |     exp(-s t) [F''(t)] dt = s**2 f(s)-s F(0)-F'(0)	with s = +0.500
      /0                                           


 If   F(t)   : t-> t**2  Then F''(t) : t-> 2  

       /+oo                              
 Then |     exp(-s t) [2] dt = (+4.000)  
      /0                             


 And :   L{F''(t)} = s**2 * f(s) - s * F(0) - F'(0)
                   = s^2 * (2/(s^3)) - 0 - 0                 
                   = 2/(s)                 
                   = (+4.000)          

 Mathematica Code

 integrate e**(-s*t)*(2) dt from t=0 to infinity 

 Press return to continue.